Transformations of Optimal Control Problems
The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-06-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/201 |
| _version_ | 1797877882216775680 |
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| author | A. Tsirlin |
| author_facet | A. Tsirlin |
| author_sort | A. Tsirlin |
| collection | DOAJ |
| description | The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable staying unchanged through equations of the system (invariant), by extension of the original problem and a transition from it to a simpler problem that gives an estimate solution of the original one. In some cases we can get a solution that is simplified by a transition from a set of conditions in the form of differential equations to the only integral condition. This relates to equations with a retarded argument. The paper gives examples of application of these techniques to real engineering problems such as an optimal control of biosynthesis, cooling of crystal systems by a laser radiation, etc. |
| first_indexed | 2024-04-10T02:25:01Z |
| format | Article |
| id | doaj.art-80f4847b5b5a49938f562c4fd28905ac |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:01Z |
| publishDate | 2013-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-80f4847b5b5a49938f562c4fd28905ac2023-03-13T08:07:32ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-06-0120313015210.18255/1818-1015-2013-3-130-152195Transformations of Optimal Control ProblemsA. Tsirlin0Институт программных систем им. А.К. Айламазяна РАНThe paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable staying unchanged through equations of the system (invariant), by extension of the original problem and a transition from it to a simpler problem that gives an estimate solution of the original one. In some cases we can get a solution that is simplified by a transition from a set of conditions in the form of differential equations to the only integral condition. This relates to equations with a retarded argument. The paper gives examples of application of these techniques to real engineering problems such as an optimal control of biosynthesis, cooling of crystal systems by a laser radiation, etc.https://www.mais-journal.ru/jour/article/view/201оптимальное управлениепреобразованиепеременные состояниярешение |
| spellingShingle | A. Tsirlin Transformations of Optimal Control Problems Моделирование и анализ информационных систем оптимальное управление преобразование переменные состояния решение |
| title | Transformations of Optimal Control Problems |
| title_full | Transformations of Optimal Control Problems |
| title_fullStr | Transformations of Optimal Control Problems |
| title_full_unstemmed | Transformations of Optimal Control Problems |
| title_short | Transformations of Optimal Control Problems |
| title_sort | transformations of optimal control problems |
| topic | оптимальное управление преобразование переменные состояния решение |
| url | https://www.mais-journal.ru/jour/article/view/201 |
| work_keys_str_mv | AT atsirlin transformationsofoptimalcontrolproblems |